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Anna007 [38]
3 years ago
9

Complete each congruence statement by naming the corresponding angle or side.

Mathematics
1 answer:
alexandr1967 [171]3 years ago
5 0
The congruence statement should be: WV = XZ
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An airplane must clear a 60-foot pole at the end of a runway 500 yards long determine the angle of elevation at which the airpla
Marat540 [252]

Answer:

2.3 degrees.      

Step-by-step explanation:

Please find the attachment.

We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.

Let us convert 500 yards to feet.

1 yard= 3 feet.

500 yards= 3*500 feet= 1500 feet.

We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.

Since tangent represents the relation between opposite and adjacent of right triangle, So we will use tangent to find angle of elevation that plane must ascend to clear the pole.  

tan(\theta)=\frac{60}{1500}    

\theta=\tan^{-1}(\frac{60}{1500} )

\theta=\tan^{-1}(0.04)

\theta=2.290610042639

Therefore, the airplane must ascend 2.3 degrees to clear the pole.

8 0
3 years ago
Given that f(x)=(k x)/(2x 1)and that f(-3)=2, find the value of k
makvit [3.9K]

Answer:

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Step-by-step explanation:

3 0
3 years ago
If f(x)=|x+7|, find f(−12).<br><br><br> −19<br><br><br> −5<br><br><br> 5<br><br><br> 19
Slav-nsk [51]

Answer:

5

Step-by-step explanation:

insert f(-12) for f(x) and solve

f(-12)=|-12+7|

add -12 and 7

f(-12)=|-5|

absolute value makes it positive

f(-12)=5

6 0
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Read 2 more answers
Solve the following equation. Then place the correct mixed number in the box provided. 5x/7=22
natka813 [3]
We have that
<span> 5x/7=22
multiply by 7 both sides
5x=22*7-------> 5x=154
divide by 5 both sides
x=154/5
x=30.8--------> x=30 4/5

the answer is
x=30 4/5</span>
7 0
3 years ago
A triangular tile measures 4 4 cm along its base and 3 3 cm tall. What is the area taken up by the tile? The area is __________
Snowcat [4.5K]

Answer:

Step-by-step explanation:

Area of a triangle is A=(1/2)*base*height

A = (1/2)*(4.4)*(3.3) = 0.726 cm2

4 0
3 years ago
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